Reconstruction of inclusions in an elastic body

Gunther Uhlmann*, Jenn Nan Wang, Chin-Tien Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We consider the reconstruction of elastic inclusions embedded inside of a planar region, bounded or unbounded, with isotropic inhomogeneous elastic parameters by measuring displacements and tractions at the boundary. We probe the medium with complex geometrical optics solutions having polynomial-type phase functions. Using these solutions we develop an algorithm to reconstruct the exact shape of a large class of inclusions including star-shaped domains and we implement numerically this algorithm for some examples.

Original languageEnglish
Pages (from-to)569-582
Number of pages14
JournalJournal des Mathematiques Pures et Appliquees
Volume91
Issue number6
DOIs
StatePublished - 1 Jun 2009

Keywords

  • Complex geometrical optics
  • Numerical algorithms of reconstruction
  • Reconstruction of inclusions

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